Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 59, 966, 800, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 966, 800, 732 is 1
GCD(59, 966, 800, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 966, 800, 732 is 1
GCD(59, 966, 800, 732) = 1
Given Input numbers are 59, 966, 800, 732
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 59, 966, 800, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 966, 800, 732 is 1.
Therefore, GCD of numbers 59, 966, 800, 732 is 1
Given Input Data is 59, 966, 800, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 732 is 2 x 2 x 3 x 61
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(59, 966) = 56994
GCD(59, 966) = ( 59 x 966 ) / 56994
GCD(59, 966) = 56994 / 56994
GCD(59, 966) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 59, 966, 800, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 966, 800, 732?
GCD of 59, 966, 800, 732 is 1
2. Where do I get the detailed procedure to find GCD of 59, 966, 800, 732?
You can find a detailed procedure to find GCD of 59, 966, 800, 732 on our page.
3. How to find GCD of 59, 966, 800, 732 on a calculator?
You can find the GCD of 59, 966, 800, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.